Goldman-type Lie algebras from knots
Takefumi Nosaka
TL;DR
This paper introduces a new class of Lie algebras derived from knots in homology 3-spheres, exploring their relations to Goldman Lie algebras through group homology.
Contribution
It defines novel Goldman-type Lie algebras from knots and analyzes their relationships with existing Lie algebra structures.
Findings
Defined Lie algebras from knots in homology 3-spheres.
Established relations among these Lie algebras and Goldman Lie algebra.
Connected group homology definitions to known algebraic structures.
Abstract
We define Lie algebras from a class of knots in a homology 3-sphere. Since the definitions in terms of group homology are analogous to Goldman Lie algebra \cite{Gold}, we discuss relations among these Lie algebras.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Geometric and Algebraic Topology · Algebraic structures and combinatorial models